Abstract
We propose a new model of 5D $SU(3)\otimes U(1)_X$ gauge-Higgs unification with a successful electroweak symmetry breaking and a realistic Higgs boson mass. In our model, the representations of the fermions are very simple, the ${\bf 3}, \overline{\bf 3}$ and $\bf \overline{15}$ representations of $SU(3)$ gauge group. Employing the anti-periodic boundary conditions for $\bf \overline{15}$ reduces massless exotic fermions and simplifies the brane localized mass terms. We calculate the 1-loop Higgs potential in detail and find that a realistic electroweak symmetry breaking and the observed Higgs mass are obtained.
Highlights
Gauge-Higgs unification (GHU) [1,2] unifies the standard model (SM) gauge boson and Higgs boson into the higher-dimensional gauge fields
We propose a new model of five-dimensional SUð3Þ ⊗ Uð1ÞX gauge-Higgs unification with a successful electroweak symmetry breaking and a realistic Higgs boson mass
As will be seen the dominant contributions from fermions with the antiperiodic boundary condition to the Higgs potential at one loop behave as bosonic fields, which implies that the contributions from the extra bulk fermions with the periodic boundary condition are indispensable for realizing the realistic electroweak symmetry breaking
Summary
Gauge-Higgs unification (GHU) [1,2] unifies the standard model (SM) gauge boson and Higgs boson into the higher-dimensional gauge fields. This scenario is one of the attractive ideas that solves the hierarchy problem without invoking supersymmetry, since the Higgs boson mass and its potential are calculable due to the higher-dimensional gauge symmetry [2] These characteristic features have been studied and verified in models with various types of compactification at the one-loop level [3] and at the twoloop level [4]. Such a strategy simplifies our model: the top quark needs a large representation to reproduce the large top Yukawa coupling as will be mentioned Such a large representation includes the massless exotic fermions, but they are automatically removed from the low-energy effective theory by the use of the antiperiodic boundary condition. Since the gauge sectors of our model have been discussed in detail [11], we focus on the fermion sector in the following subsections
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